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A generalized metric space and related fixed point theorems
Journal article   Open access  Peer reviewed

A generalized metric space and related fixed point theorems

Mohamed Jleli and Bessem Samet
Fixed point theory and applications (Hindawi Publishing Corporation), Vol.2015(1), pp.1-14
29/04/2015

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
We introduce a new concept of generalized metric spaces for which we extend some well-known fixed point results including Banach contraction principle, Cirics fixed point theorem, a fixed point result due to Ran and Reurings, and a fixed point result due to Nieto and Rodriguez-Lopez. This new concept of generalized metric spaces recover various topological spaces including standard metric spaces, b-metric spaces, dislocated metric spaces, and modular spaces.
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https://doi.org/10.1186/s13663-015-0312-7View
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